6ln(4x+2)-1=19

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Solution for 6ln(4x+2)-1=19 equation:


Simplifying
6ln(4x + 2) + -1 = 19

Reorder the terms:
6ln(2 + 4x) + -1 = 19
(2 * 6ln + 4x * 6ln) + -1 = 19
(12ln + 24lnx) + -1 = 19

Reorder the terms:
-1 + 12ln + 24lnx = 19

Solving
-1 + 12ln + 24lnx = 19

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 12ln + 1 + 24lnx = 19 + 1

Reorder the terms:
-1 + 1 + 12ln + 24lnx = 19 + 1

Combine like terms: -1 + 1 = 0
0 + 12ln + 24lnx = 19 + 1
12ln + 24lnx = 19 + 1

Combine like terms: 19 + 1 = 20
12ln + 24lnx = 20

Reorder the terms:
-20 + 12ln + 24lnx = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 12ln + 24lnx = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-5 + 3ln + 6lnx) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-5 + 3ln + 6lnx)' equal to zero and attempt to solve: Simplifying -5 + 3ln + 6lnx = 0 Solving -5 + 3ln + 6lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 3ln + 5 + 6lnx = 0 + 5 Reorder the terms: -5 + 5 + 3ln + 6lnx = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3ln + 6lnx = 0 + 5 3ln + 6lnx = 0 + 5 Combine like terms: 0 + 5 = 5 3ln + 6lnx = 5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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